For advanced undergraduate physics majors
What is a gauge theory?
Feynman path integral
An Introduction to General Relativity
Dirac string
Black hole information paradox
Comments
The Basic Cosmology, the first part (for advanced undergraduate physics majors)
Why was very early universe dominated with light?
The CMB today
The CMB anisotropy analysis
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The Basic Cosmology, the second part (for advanced undergraduate physics majors)
The number density, the energy density and the entropy density of relativistic gas
Neutrino decoupling
Recombination
Big Bang nucleosynthesis
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Prerequisites for Loop Quantum Gravity, the first part
Vierbein formalism and Palatini action in general relativity
Gauge transformations in dreibein
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Prerequisites for Loop Quantum Gravity, the second part
SU(2) Lie Group and Lie Algebra
Representations of SU(2) Lie Algebra
Non-Abelian gauge theory
Wilson line and Wilson loop
Comments
Prerequisites for Loop Quantum Gravity, the third part
The Maxwell Lagrangian and its equations of motion
Non-Abelian gauge theory in differential forms
Comments
Unification of Gravity and Electromagnetism in 5-dimensions
Kaluza-Klein theory
Comments
Loop Quantum Gravity (for physics graduate students)
Area operator in terms of newer variables and dreibein
Ashtekar variables
“Newer” variables in Loop Quantum Gravity
Area spectrum in Ashtekar variables and Newer variables
Spin Network
Comments
Elasticity
Comments
Verlinde’s emergent gravity (for advanced undergraduate physics majors)
Verlinde’s derivation of Tully-Fisher relation
Verlinde’s emergent gravity
Covariant formulation of Verlinde gravity
Comments
The CMB anisotropy
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한국어
Korean
For Korean Laymen
For Korean Students
About Me
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Popular Essays
Math and Physics
education
Moving Beyond the Korean System:
On Learning To Love Mathematics and Physics
Surprises in math, the reason why I study physics,
and a recommendation for "The Number Devil"
Is math and science homework mechanical drudgery?
Are memorizing formulas well and good arithmetic
skills essential to become a good theoretical
physicist or a good mathematician?
The difference between explaining theoretical physics
or math and other subjects
Math or Physics
education
Why Math Education Matters
Why Math Education Matters 2
Studying physics as resolving paradoxes
Math and Physics
The mathematical beauty of physics:
simplicity, consistency, and unity
English as a foreign language versus English as a
mother tongue: an analogy for the language of
mathematics and the language of physics
Physics solutions for mathematical problems
Math
The imagination in mathematics:
"Desargues's theorem"
Mathematical maturity in
solving mathematics problems
Turning a complicated multiplication
into a simple addition
The square root 2 as
irrational number
The prisoner's dilemma
Rational numbers and repeating decimal
Math History
The superiority of Hindu-Arabic numeral system
Fermat's Last Theorem
The power of negative number
Nightingale, the statistician
Pythagoras and the musical scale
The calculation of pi, the first part
The calculation of pi, the second part
Why are there as many even
natural numbers as natural numbers?
Physics
The similarity between painting and theoretical physics
Fermat’s principle and the consistency of physics
Did Einstein really prove that Newton was wrong?
The cosmological principle, and my view on philosophy
The case for string theory
Why are theories of crackpots, the self-claimed physicists
who lack proper physics education, wrong and useless?
How are theories and laws in physics created?
About This Page
Found out the reasons for my physics website
Review Articles
Introduction
High School Mathematics
For Laymen
For Mathematically Oriented High School Students
For Physics Students
The Most Recommended Articles
Other Resources
Recommended Physics Books
Other Physics Resources
My Harvard Application Essay
My MIT Application Essay
Ein Monat wie im Traum (in German)
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Korean
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